Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.4 Intercepts and Graphing - 1.4 Exercises - Page 63: 26

Answer

$$x_{intercept} = (1.6, 0)$$ $$y_{intercept} = (0, 2)$$

Work Step by Step

To find the intercepts, one must substitute the opposite variable with zero and then solve the equation. To find $x_{intercept}$, for instance: $$10x + 8(0) = 16$$ $$10x = 16$$ $$x = \frac{16}{10} = 1.6$$ To find the $y_{intercept}$: $$10(0) + 8y = 16$$ $$8y = 16$$ $$y = 2$$ And, finally, to draw the graph one simply plots the intercepts and draws the line that connects them.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.